83280960 has 448 divisors, whose sum is σ = 359907840. Its totient is φ = 17915904.

The previous prime is 83280937. The next prime is 83280979. The reversal of 83280960 is 6908238.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898872 + ... + 4898888.

Almost surely, 2^83280960 is an apocalyptic number.

83280960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179953920).

83280960 is an abundant number, since it is smaller than the sum of its proper divisors (276626880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83280960 is an equidigital number, since it uses as much as digits as its factorization.

83280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83280960 is about 9125.8402352879. The cubic root of 83280960 is about 436.6987085501.

The spelling of 83280960 in words is "eighty-three million, two hundred eighty thousand, nine hundred sixty".